Search a number
-
+
242704200 = 23352404507
BaseRepresentation
bin11100111011101…
…01111101001000
3121220200122120110
432131311331020
5444113013300
640025554320
76004644264
oct1635657510
9556618513
10242704200
11115000292
12693459a0
133b38996b
142433b0a4
1516492550
hexe775f48

242704200 has 48 divisors (see below), whose sum is σ = 752384880. Its totient is φ = 64720960.

The previous prime is 242704183. The next prime is 242704213. The reversal of 242704200 is 2407242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201654 + ... + 202853.

It is an arithmetic number, because the mean of its divisors is an integer number (15674685).

Almost surely, 2242704200 is an apocalyptic number.

242704200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242704200 is an abundant number, since it is smaller than the sum of its proper divisors (509680680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242704200 is a wasteful number, since it uses less digits than its factorization.

242704200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404526 (or 404517 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 242704200 is about 15578.9665896041. The cubic root of 242704200 is about 623.7718388398.

The spelling of 242704200 in words is "two hundred forty-two million, seven hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 404507 809014 1213521 1618028 2022535 2427042 3236056 4045070 4854084 6067605 8090140 9708168 10112675 12135210 16180280 20225350 24270420 30338025 40450700 48540840 60676050 80901400 121352100 242704200